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Finding the Fourth Proportional to 12,977.66, 17,908.09 and 7,310.60

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Solution

The fourth proportional to 12,977.66, 17,908.09 and 7,310.60 is: 10,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.66 : 17,908.09 = 7,310.60 : x
  2. Step 2: Convert to fraction form
    12,977.66/17,908.09 = 7,310.60/x
  3. Step 3: Cross multiply
    12,977.66x = 17,908.09 × 7,310.60
  4. Step 4: Simplify right side
    12,977.66x = 130,918,882.75
  5. Step 5: Solve for x
    x = 130,918,882.75/12,977.66
  6. Step 6: Final answer
    x = 10,088.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.